Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 4038, 4043 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4038 and 4043 is 1.
GCF(4038,4043) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4038
2 | 4038 |
3 | 2019 |
673 | 673 |
1 |
Prime factors of 4038 are 2,3,673. Prime factorization of 4038 in exponential form is:
4038 = 21×31×6731
Prime Factorization of 4043
13 | 4043 |
311 | 311 |
1 |
Prime factors of 4043 are 13,311. Prime factorization of 4043 in exponential form is:
4043 = 131×3111
∴ So by taking common prime factors GCF of 4038 and 4043 is 1
Factors of 4038
List of positive integer factors of 4038 that divides 4038 without a remainder.
1,2,3,6,673,1346,2019,4038
Factors of 4043
List of positive integer factors of 4043 that divides 4043 without a remainder.
1,13,311,4043
Greatest Common Factor
We found the factors and prime factorization of 4038 and 4043. The biggest common factor number is the GCF number.
So the greatest common factor 4038 and 4043 is 1.
Also check out the Least Common Multiple of 4038 and 4043
(i) The GCF of 4038 and 4043 is associative
GCF of 4038 and 4043 = GCF of 4043 and 4038
1. What is the GCF of 4038 and 4043?
Answer: GCF of 4038 and 4043 is 1.
2. What are the Factors of 4038?
Answer: Factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038. There are 8 integers that are factors of 4038. The greatest factor of 4038 is 4038.
3. What are the Factors of 4043?
Answer: Factors of 4043 are 1, 13, 311, 4043. There are 4 integers that are factors of 4043. The greatest factor of 4043 is 4043.
4. How to Find the GCF of 4038 and 4043?
Answer:
Greatest Common Factor of 4038 and 4043 = 1
Step 1: Find the prime factorization of 4038
4038 = 2 x 3 x 673
Step 2: Find the prime factorization of 4043
4043 = 13 x 311
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 4038 and 4043 is 1